While the idea may be doable, the simple fact is we already have too many Blood Dragon (and Ku unlawful in general) factions as it is.
We have the NovaPG, GC, Kiretsu, BD, Sentai-86, BDW-C, and Consortium. I think that's more then enough given that there's like 3 full lawful Kusari factions (Not counting corperations). You could always RP this as an independant or join one of the pre-existing factions.